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Finding the Fourth Proportional to 487,956,393,000.45, 731,934,589,500.68 and 487,956,393,000.45

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Solution

The fourth proportional to 487,956,393,000.45, 731,934,589,500.68 and 487,956,393,000.45 is: 731,934,589,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956,393,000.45 : 731,934,589,500.68 = 487,956,393,000.45 : x
  2. Step 2: Convert to fraction form
    487,956,393,000.45/731,934,589,500.68 = 487,956,393,000.45/x
  3. Step 3: Cross multiply
    487,956,393,000.45x = 731,934,589,500.68 × 487,956,393,000.45
  4. Step 4: Simplify right side
    487,956,393,000.45x = 357,152,162,205,016,872,976,384
  5. Step 5: Solve for x
    x = 357,152,162,205,016,872,976,384/487,956,393,000.45
  6. Step 6: Final answer
    x = 731,934,589,500.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.